Question

StartFraction 48 Over 8 EndFraction = StartFraction 42 Over x EndFraction a. x = 42 c. x = 8 b. x = 7 d. x = 6

Answer 1

`\huge\text{Hey there!}`

`\mathtt{(48)/(8) = (42)/(x)}`

`\mathtt{6 = (42)/(x)}`

`\mathtt{(42)/(x) = 6}`

`\large\text{Convert the equation to:}`

`\mathtt{42 = 6x}`

`\mathtt{6x = 42}`

`\large\text{DIVIDE 6 to BOTH SIDES:}`

`\mathtt{(6x)/(6) = (42)/(6)}`

`\large\text{CANCEL out: }\rm{(6)/(6)\large\text{ because that gives you 1.}`

`\large\text{KEEP: }\rm{(42)/(6)}\large\text{ because it help solve for the overall equation.}`

`\large\text{New equation:}`

`\mathtt{x = (42)/(6)}`

`\large\text{Simplify that:}`

`\mathtt{x = 7}`

`\huge\text{Therefore your answer should be:}`

`\huge\boxed{\mathtt{Option\ B. \ 7}}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`